MinT - Information on Result #794800

Information on Result #794800

Digital (133, 168, 688)-net over F₃, using trace code for nets based on digital (7, 42, 172)-net over F₈₁, using

net from sequence [i] based on digital (7, 171)-sequence over F₈₁, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 7 and N(F) ≥ 172, using
  - a function field by SÃ©mirat [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (134, 168, 688)-net over F₃	[i]		t-Expansion
2	Digital (135, 168, 688)-net over F₃	[i]		t-Expansion
3	Digital (134, 169, 688)-net over F₃	[i]		Net Duplication
4	Digital (135, 170, 688)-net over F₃	[i]		Net Duplication
5	Digital (133, 167, 688)-net over F₃	[i]		m-Reduction
6	Digital (133, 166, 688)-net over F₃	[i]
7	Digital (133, 165, 688)-net over F₃	[i]
8	Digital (133, 164, 688)-net over F₃	[i]
9	Digital (150, 185, 692)-net over F₃	[i]		(u,Â u+v)-Construction for Nets
10	Digital (151, 186, 695)-net over F₃	[i]
11	Digital (152, 187, 696)-net over F₃	[i]
12	Digital (153, 188, 698)-net over F₃	[i]
13	Digital (154, 189, 700)-net over F₃	[i]
14	Digital (155, 190, 701)-net over F₃	[i]
15	Digital (156, 191, 702)-net over F₃	[i]
16	Linear OOA(3¹⁶⁸, 688, F₃, 4, 35) (dual of [(688, 4), 2584, 36]-NRT-code)	[i]		Extracting Embedded OOA
17	Linear OOA(3¹⁶⁸, 688, F₃, 5, 35) (dual of [(688, 5), 3272, 36]-NRT-code)	[i]		Extracting Embedded OOA